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Finding the Fourth Proportional to 7,766, 11,649 and 3,149

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Solution

The fourth proportional to 7,766, 11,649 and 3,149 is: 4,723.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766 : 11,649 = 3,149 : x
  2. Step 2: Convert to fraction form
    7,766/11,649 = 3,149/x
  3. Step 3: Cross multiply
    7,766x = 11,649 × 3,149
  4. Step 4: Simplify right side
    7,766x = 36,682,701
  5. Step 5: Solve for x
    x = 36,682,701/7,766
  6. Step 6: Final answer
    x = 4,723.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.